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Finding the Third Proportional to 58,664 and 84,067

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Solution

The third proportional to 58,664 and 84,067 is: 120,470.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,664 : 84,067 = 84,067 : x
  2. Step 2: Convert to fraction form
    58,664/84,067 = 84,067/x
  3. Step 3: Cross multiply
    58,664x = 84,067 × 84,067
  4. Step 4: Simplify right side
    58,664x = 7,067,260,489
  5. Step 5: Solve for x
    x = 7,067,260,489/58,664
  6. Step 6: Final answer
    x = 120,470.14

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.